A local version of Bando's theorem on the real‐analyticity of solutions to the Ricci flow

A local version of Bando's theorem on the real‐analyticity of solutions to the Ricci flow
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DOI:
10.1112/blms/bds074
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发表时间:
2011-11
影响因子:
0.9
通讯作者:
Brett L. Kotschwar
Brett L. Kotschwar
中科院分区:
数学3区
文献类型:
--
作者:
Brett L. Kotschwar

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Bando的一个定理是,如果g(t)是紧致流形M上Ricci流的解,则(M,g(t))对每个t > 0都是真实的-解析的。本文将其结果推广到开域U ∈ M上的光滑解。
It is a theorem of Bando that if g(t) is a solution to the Ricci flow on a compact manifold M, then (M, g(t)) is real‐analytic for each t > 0. In this note, we extend his result to smooth solutions on open domains U ⊂ M.